On the Levin iterative method for oscillatory integrals

DOI10.1016/j.cam.2007.06.012zbMath1158.65021OpenAlexW2001943714MaRDI QIDQ929904

Shuhuang Xiang, Haiyong Wang

Publication date: 19 June 2008

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2007.06.012

zbMATH Keywords

Bessel functionFourier transformationoscillatory integral

Mathematics Subject Classification ID

Numerical quadrature and cubature formulas (65D32)

Related Items (7)

Meshless procedure for highly oscillatory kernel based one-dimensional Volterra integral equations ⋮ Fast and stable augmented Levin methods for highly oscillatory and singular integrals ⋮ An adaptive Filon-type method for oscillatory integrals without stationary points ⋮ On Filon methods for a class of Volterra integral equations with highly oscillatory Bessel kernels ⋮ Method for numerical integration of rapidly oscillating functions in diffraction theory ⋮ Efficient computation of highly oscillatory integrals with weak singularities by Gauss-type method ⋮ On the rational Levin quadrature for evaluation of highly oscillatory integrals and its application

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